Resolver -46divtan(42^circ)-tan(46^circ)

$$-46 \div \tan ( 42 ^ { \circ } ) - \tan ( 46 ^ { \circ } )$$

Calcular

$$-\frac{2346619784126501995096450270551953}{45020202214891995000000000000000}\approx -52.123705996$$

Pasos da solución

Evaluate trigonometric functions in the problem

$$-46 / 0.9004040442978399 - 1.0355303137905694$$

Expande \frac{-46}{0.9004040442978399} multiplicando o numerador e o denominador por 10000000000000000.

$$\frac{-460000000000000000}{9004040442978399}-1.0355303137905694$$

A fracción \frac{-460000000000000000}{9004040442978399} pode volver escribirse como -\frac{460000000000000000}{9004040442978399} extraendo o signo negativo.

$$-\frac{460000000000000000}{9004040442978399}-1.0355303137905694$$

Converte o número decimal 1.0355303137905694 á fracción \frac{5177651568952847}{10000000000}. Reduce a fracción \frac{5177651568952847}{10000000000} a termos máis baixos extraendo e cancelando 1.

$$-\frac{460000000000000000}{9004040442978399}-\frac{5177651568952847}{5000000000000000}$$

O mínimo común múltiplo de 9004040442978399 e 5000000000000000 é 45020202214891995000000000000000. Converte -\frac{460000000000000000}{9004040442978399} e \frac{5177651568952847}{5000000000000000} a fraccións co denominador 45020202214891995000000000000000.

$$-\frac{2300000000000000000000000000000000}{45020202214891995000000000000000}-\frac{46619784126501995096450270551953}{45020202214891995000000000000000}$$

Dado que -\frac{2300000000000000000000000000000000}{45020202214891995000000000000000} e \frac{46619784126501995096450270551953}{45020202214891995000000000000000} teñen o mesmo denominador, réstaos mediante a resta dos seus numeradores.

$$\frac{-2300000000000000000000000000000000-46619784126501995096450270551953}{45020202214891995000000000000000}$$

Resta 46619784126501995096450270551953 de -2300000000000000000000000000000000 para obter -2346619784126501995096450270551953.

$$-\frac{2346619784126501995096450270551953}{45020202214891995000000000000000}$$